For a sample of n 16 individuals how large a Pearson correl

For a sample of n = 16 individuals, how large a Pearson correlation is necessary to be statistically significant for a two-tailed test with a = .05?

Solution

open any correlation coefficient table from google like this one and find the value corresponding to df=n-2 = 14, alpa=0.05, and get

0.497

http://www.gifted.uconn.edu/siegle/research/correlation/corrchrt.htm